The inequality you're working with is:

\[
116 \leq 130v + 8
\]

### Steps to solve for \( v \):

1. Subtract 8 from both sides to isolate the term with \( v \):
   \[
   116 - 8 \leq 130v
   \]
   \[
   108 \leq 130v
   \]

2. Divide both sides by 130 to solve for \( v \):
   \[
   \frac{108}{130} \leq v
   \]
   \[
   0.8308 \leq v
   \]

Thus, \( v \geq 0.8308 \).

### Final answer:
\[
v \geq 0.8308
\]

Would you like more details or have any questions?

Here are 5 related questions:
1. How do you solve multi-step inequalities involving variables?
2. What are the rules for reversing inequality signs?
3. How do you handle inequalities with negative coefficients?
4. Can you graph the solution to this inequality?
5. How do you interpret the solution of inequalities in word problems?

**Tip:** Always remember, when dividing or multiplying both sides of an inequality by a negative number, you must reverse the inequality sign!

Learn how to solve the linear inequality 116 ≤ 130v + 8 with a detailed step-by-step solution. This problem demonstrates key concepts in inequalities and basic algebra. Suitable for students in Grades 6-8.

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